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Finding the Third Proportional to 165,747 and 357,702

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Solution

The third proportional to 165,747 and 357,702 is: 771,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,747 : 357,702 = 357,702 : x
  2. Step 2: Convert to fraction form
    165,747/357,702 = 357,702/x
  3. Step 3: Cross multiply
    165,747x = 357,702 × 357,702
  4. Step 4: Simplify right side
    165,747x = 127,950,720,804
  5. Step 5: Solve for x
    x = 127,950,720,804/165,747
  6. Step 6: Final answer
    x = 771,964.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.